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Finding the Third Proportional to 517,892,148 and 1,109,654,490

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Solution

The third proportional to 517,892,148 and 1,109,654,490 is: 2,377,585,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,892,148 : 1,109,654,490 = 1,109,654,490 : x
  2. Step 2: Convert to fraction form
    517,892,148/1,109,654,490 = 1,109,654,490/x
  3. Step 3: Cross multiply
    517,892,148x = 1,109,654,490 × 1,109,654,490
  4. Step 4: Simplify right side
    517,892,148x = 1,231,333,087,177,160,192
  5. Step 5: Solve for x
    x = 1,231,333,087,177,160,192/517,892,148
  6. Step 6: Final answer
    x = 2,377,585,935.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.